Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#13094049 | C2 | semidirect |
| 2. C2×#13094031 | C2 | semidirect |
| 3. #15689687 | C2 | semidirect |
| 4. #15689374 | C2 | semidirect |
| 5. #15689371 | C2 | semidirect |
| 6. #15689357 | C2 | semidirect |
| 7. #15689354 | C2 | semidirect |
| 8. #15689163 | C2 | semidirect |
| 9. #15689119 | C2 | semidirect |
| 10. C2×#13093944 | C2 | semidirect |
| 11. C47×#537 | C2 | semidirect |
| 18. C2×#10625329 | C22 | semidirect |
| 20. C22×C47⋊C8 | C22 | semidirect |
| 27. #13093957 | C22 | semidirect |
| 28. #13093955 | C22 | semidirect |
| 29. #13093948 | C22 | semidirect |
| 30. #13093948 | C22 | semidirect |
| 31. #13093945 | C22 | semidirect |
| 32. #13093945 | C22 | semidirect |
| 38. C22⋊Q8×C47 | C22 | semidirect |
| 41. #121×C47 | C22 | semidirect |
| 79. #10625329 | D4 | semidirect |
| 154. #537 | D47 | semidirect |
| 163. C47 | #3062 | semidirect |
| 178. C22⋊Q8 | C2×D47 | semidirect |
| 183. #121 | C2×D47 | semidirect |